Affiliations: [a] Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand | [b] Department of Mathematics, Yazd University, Yazd, Iran
Correspondence:
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Correspondence author: Bundit Pibaljommee, Department of Mathematics, Faculty of Science, Khon Kaen University,
Khon Kaen, Thailand. [email protected]
Abstract: In this paper, we study the concept of fuzzy bi-hyperideals in ordered semihypergroups and we present some examples in this respect. We give the main theorem which characterizes the bi-hyperideals in terms of fuzzy bi-hyperideals. Then, we characterize the left and right simple, the completely regular, and the strongly regular ordered semihypergroups by means of fuzzy bi-hyperideals.
